Combined Shepard operators with Chebyshev nodes
Journal of Numerical Analysis and Approximation Theory, 2004 In this paper we study combined Shepard-Lagrange univariate interpolation operator\[S_{n,\mu}^{L,m}(Y;f,x):=S_{n,\mu}^{L,m}(f,x)=\frac{\sum\limits_{k=0}^{n+1}\left\vert x-y_{n,k}\right\vert ^{-\mu}(L_{m}f)(x,y_{n,k})}{\sum\limits_{k=0}^{n+1}\left\vert x ...
Cristina O. Oşan, Radu T. Trîmbitaş
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A Method of Univariate Interpolation that has the Accuracy of a Third–Degree Polynomial [PDF]
, 1986 Hiroshi Akima
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Self‐Creation of Accelerated Temporal Mirrors
Advanced Physics Research, EarlyView.The field of temporal analog effects is rapidly emerging and seen as a driver of a paradigm shift in photonics. It promises striking new phenomena but remains experimentally challenging. This work introduces a mechanism that automatically creates a temporal mirror with simple optical means, unlocking practical access to extreme nonlinear dynamics and ...
Oliver Melchert +4 more
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An approximation method for convolution curves of regular curves and ellipses
AIMS MathematicsIn this paper, we present a method of $ G^2 $ Hermite interpolation of convolution curves of regular plane curves and ellipses. We show that our approximant is also a $ C^1 $ Hermite interpolation of the convolution curve. This method yields a polynomial
Young Joon Ahn
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Pascal-Interpolation-Based Noninteger Delay Filter and Low-Complexity Realization [PDF]
Radioengineering, 2015 This paper proposes a new method for designing the polynomial-interpolation-type noninteger-delay filter with a new structure formulation. Since the design formulation and the new realization structure are based on the discrete Pascal transform (DPT) and
P. Soontornwong, S. Chivapreecha
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On interpolation polynomials of the Hermite-Fejér type II [PDF]
, 1981 S. J. Goodenough, T. M. Mills
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Commissioning an Inexpensive Off‐The‐Shelf Spectrograph for Radial‐Velocity Studies
Astronomische Nachrichten, EarlyView.ABSTRACT We present a way to set up an inexpensive out of the shelf spectrograph at a local observatory. Stability and resolution of the spectrograph are high enough for radial velocity determination of binary stars or determination of stellar characteristics. Even some exoplanets might be detectable via the radial velocity method.
Lukas Stock, Andreas Schrimpf
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A Note on Property Testing Sum of Squares and Multivariate Polynomial Interpolation [PDF]
, 2017 Aaron Potechin, Liu Yang
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Adaptive Algal Cultivation Enabled by a Monthly Biomass Forecasting System
Biotechnology and Bioengineering, EarlyView.The developed monthly algal forecasting system used to predict biomass production for two algal strains (A and B) at two pond water depths (low and high). The highest predicted production, achieved with strain A at a low pond water depth, is selected as the cultivation strategy to guide the next month's algal growth.
Hongxiang Yan +5 more
wiley +1 more source
Comparison of Two Interpolation Methods for Resampling Center of Mass Velocity Data [PDF]
Sport Mont, 2016 Data interpolation methods are highly useful for estimating missing values. Another usage of these methods is resampling the measured data. In the field of biomechanics sometimes researchers have to deal problems related to data acquisition rate or ...
Uğur Ödek
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